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The Set of All Countable Ordinals: An Inquiry into Its Construction, Properties, and a Proof Concerning Hereditary Subcompactness

Authors

Jacob Hill

Publication Date

May 07, 2009

Keywords

Mathematics

Well-Order

Countable Ordinals

Subcompact

Abstract

This thesis looks at the construction of the set of all countable ordinals without the use of the axiom of choice. It also looks at some general properties of the set and its subsets, along with a proof concerning its hereditary subcompactness.

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